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math.OC2026
A volume-controlled level-set method for topology optimization
Wei Gong, Zhenmin Zhang, Shengfeng Zhu
Topology optimization typically involves a geometric volume/mass constraint due to the limited use of material. As a popular technique for topology optimization, the level-set meth…
math.NA2026
An unfitted finite element method for PDE-constrained shape optimization via shape gradient flow
Wei Gong, Chuwen Ma, Ziyi Zhang
In this paper, we propose an unfitted finite element method to solve PDE-constrained shape optimization problems via shape gradient flow. The shape gradient flow system consists of…